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Finding the Fourth Proportional to 10,631.66, 14,656.48 and 7,478.06

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Solution

The fourth proportional to 10,631.66, 14,656.48 and 7,478.06 is: 10,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631.66 : 14,656.48 = 7,478.06 : x
  2. Step 2: Convert to fraction form
    10,631.66/14,656.48 = 7,478.06/x
  3. Step 3: Cross multiply
    10,631.66x = 14,656.48 × 7,478.06
  4. Step 4: Simplify right side
    10,631.66x = 109,601,944.85
  5. Step 5: Solve for x
    x = 109,601,944.85/10,631.66
  6. Step 6: Final answer
    x = 10,309.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.